If you don't like to use PixieLive from the SD card (i.e. because you want your SD slot free) and you don't want to use it from your USB pendrive, you can run it from any partition on your HDD, you just need a partition, and GRUB.
If you don't like to use PixieLive from the SD card (i.e. because you want your SD slot free) and you don't want to use it from your USB pendrive, you can run it from any partition on your HDD, you just need a partition, and GRUB.